Finite Group Databasebeta

← #34326799

Subgroups — #34326799

Order 20224.

964 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098891C211yesmaximal, characteristic, complemented
2C2×#19098564C211yesmaximal, characteristic
3#23766275C211yesmaximal, characteristic, complemented
4#23764781C211yesmaximal, characteristic, complemented
5#23764774C211yesmaximal, characteristic, complemented
6#23764643C211yesmaximal, characteristic, complemented
7#23764636C211yesmaximal, characteristic, complemented
8#23764333C211yesmaximal, characteristic, complemented
9#23764324C211yesmaximal, characteristic, complemented
10#23764031C211yesmaximal, characteristic, complemented
11#23764024C211yesmaximal, characteristic, complemented
12#23763834C211yesmaximal, characteristic, complemented
13#23763585C211yesmaximal, characteristic, complemented
14#23763340C211yesmaximal, characteristic
15C79×#2432C211yesmaximal, characteristic
16C22×#11929608C2211yescharacteristic
17C22×C4⋊Dic79C2211yescharacteristic
18#19098891—24no—
19C2×#14579092C2211yescharacteristic
20C2×#14579092C2211yescharacteristic
21C2×C4⋊(C79⋊C8)C2211yescharacteristic
22C2×C4⋊(C79⋊C8)C2211yescharacteristic
23#19098564—24no—
24C2×#14579085C2211yescharacteristic
25C2×#14579085C2211yescharacteristic
26C2×#14579085C2211yescharacteristic
27C2×#14579085C2211yescharacteristic
28C2×#14579085C2211yescharacteristic
29C2×#14579085C2211yescharacteristic
30C2×#14579085C2211yescharacteristic
31C2×#14579085C2211yescharacteristic
32C2×#14579082C2211yescharacteristic
33C2×#14579082C2211yescharacteristic
34C2×#14579082C2211yescharacteristic
35C2×#14579082C2211yescharacteristic
36C2×C22⋊(C79⋊C8)C2211yescharacteristic
37#19098461C2211yescharacteristic
38#19098461C2211yescharacteristic
39#19098446—21no—
40#19098446—21no—
41#19098423C2211yescharacteristic
42#19098421—21no—
43C4×C4⋊Dic79C2211yescharacteristic
44C4×C4⋊Dic79C2211yescharacteristic
45C22⋊C4×Dic79—21no—
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098318C2211yescharacteristic
49#19098318C2211yescharacteristic
50C22×#41×C79C2211yescharacteristic
51C2×C4⋊Q8×C79C2211yescharacteristic
52C2×#124×C79C2211yescharacteristic
53C2×C22⋊Q8×C79C2211yescharacteristic
54#394×C79—21no—
55#394×C79—21no—
56#391×C79C2211yescharacteristic
57#390×C79C2211yescharacteristic
58#385×C79—21no—
59#385×C79—21no—
60C4×C22⋊C4×C79C2211yescharacteristic
61C23×Dic79—21no—
62C2×#11929608—22no—
63C2×#11929608—41no—
64C2×#11929608—41no—
65C22×C79⋊C8C2311yescharacteristic
66C22×C79⋊C8C2311yescharacteristic
67C22×C79⋊C8C2311yescharacteristic
68C22×C79⋊C8C2311yescharacteristic
69C2×C4⋊Dic79—21no—
70C2×C4⋊Dic79—22no—
71C2×C4⋊Dic79D414yes—
72C2×C4⋊Dic79C2311yescharacteristic
73C2×C4⋊Dic79C2311yescharacteristic
74C2×C4⋊Dic79C2311yescharacteristic
75C2×C4⋊Dic79C2311yescharacteristic
76C2×Dic79⋊C4—21no—
77C2×Dic79⋊C4—21no—
78C2×C22⋊Dic79—21no—
79C2×C4×Dic79—21no—
80C2×C4×Dic79—21no—
81#14579092—22no—
82#14579092—22no—
83C4⋊(C79⋊C8)—41no—
84C4⋊(C79⋊C8)—41no—
85#14579085—22no—
86#14579085—22no—
87#14579085—22no—
88#14579085—22no—
89#14579085—22no—
90#14579085—41no—
91#14579085—41no—
92#14579085—41no—
93#14579082—22no—
94#14579082—22no—
95#14579082—22no—
96#14579082—41no—
97C22⋊(C79⋊C8)—22no—
98C79⋊#95—21no—
99C79⋊#95—21no—
100C79⋊#95—21no—
101C79⋊#95—21no—
102C79⋊#95—21no—
103C2×#41×C79—22no—
104C2×#41×C79—22no—
105C2×#41×C79—22no—
106C2×#41×C79—22no—
107C2×#41×C79—41no—
108C2×#41×C79—41no—
109C22×Q8×C79C2311yescharacteristic
110C22×Q8×C79C2311yescharacteristic
111C22×D4×C79—21no—
112C22×D4×C79C2311yescharacteristic
113C23×C4×C79—21no—
114C23×C4×C79C2311yescharacteristic
115C4⋊Q8×C79—22no—
116C4⋊Q8×C79—41no—
117#124×C79—22no—
118#124×C79—41no—
119C22⋊Q8×C79—22no—
120C22⋊Q8×C79—22no—
121C2×C4⋊C4×C79—21no—
122C2×C4⋊C4×C79—21no—
123C2×C4⋊C4×C79—21no—
124C2×C4⋊C4×C79C2311yescharacteristic
125C2×C22⋊C4×C79—21no—
126C2×C22⋊C4×C79—21no—
127C2×C22⋊C4×C79—21no—
128C2×C22⋊C4×C79—21no—
129C2×C22⋊C4×C79—21no—
130C2×C22⋊C4×C79D411yescharacteristic
131C2×C22⋊C4×C79D411yescharacteristic
132C2×C42×C79C2311yescharacteristic
133C2×C42×C79C2311yescharacteristic
134#95×C79—21no—
135#95×C79—21no—
136#95×C79D411yescharacteristic
137#95×C79D411yescharacteristic
138C22×Dic79—24no—
139C22×Dic79—21no—
140C22×Dic79—21no—
141C22×Dic79—21no—
142C22×Dic79—21no—
143C22×Dic79—81no—
144C22×Dic79—81no—
145#11929608—44no—
146C2×C79⋊C8—21no—
147C2×C79⋊C8—21no—
148C2×C79⋊C8—21no—
149C2×C79⋊C8—21no—
150C2×C79⋊C8—21no—
151C2×C79⋊C8—21no—
152C2×C79⋊C8—21no—
153C2×C79⋊C8—21no—
154C2×C79⋊C8—21no—
155C2×C79⋊C8—21no—
156C2×C79⋊C8—21no—
157C2×C79⋊C8—21no—
158C4⋊Dic79—24no—
159C4⋊Dic79—21no—
160C4⋊Dic79—21no—
161C4⋊Dic79—21no—
162C4⋊Dic79—21no—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79C2×D412yes—
166C4⋊Dic79C2×D412yes—
167Dic79⋊C4—81no—
168Dic79⋊C4—81no—
169C22⋊Dic79—42no—
170C4×Dic79—81no—
171C4×Dic79—81no—
172C24×C79—21no—
173C24×C79C2×D411yescharacteristic
174#41×C79—28no—
175#41×C79—44no—
176#41×C79—44no—
177#41×C79—44no—
178C2×Q8×C79—21no—
179C2×Q8×C79—21no—
180C2×Q8×C79—21no—
181C2×Q8×C79—21no—
182C2×Q8×C79—21no—
183C2×Q8×C79—21no—
184C2×Q8×C79—21no—
185C2×Q8×C79—21no—
186C2×Q8×C79—21no—
187C2×Q8×C79—21no—
188C2×Q8×C79—21no—
189C2×Q8×C79#4112yes—
190C2×D4×C79—21no—
191C2×D4×C79—21no—
192C2×D4×C79—21no—
193C2×D4×C79—21no—
194C2×D4×C79—21no—
195C2×D4×C79—42no—
196C2×D4×C79—42no—
197C2×D4×C79—42no—
198C2×D4×C79#4112yes—
199C22×C4×C79—21no—
200C22×C4×C79—21no—
201C22×C4×C79—21no—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—21no—
206C22×C4×C79—42no—
207C22×C4×C79—42no—
208C22×C4×C79—42no—
209C22×C4×C79C2×D411yescharacteristic
210C22×C4×C79C2×D411yescharacteristic
211C22×C4×C79C2×D411yescharacteristic
212C22×C4×C79C2×D411yescharacteristic
213C22×C4×C79C2×D412yes—
214C22×C4×C79C2×D411yescharacteristic
215C22×C4×C79#4112yes—
216C22×C4×C79C2411yescharacteristic
217C4⋊C4×C79—21no—
218C4⋊C4×C79—21no—
219C4⋊C4×C79—42no—
220C4⋊C4×C79—42no—
221C4⋊C4×C79—42no—
222C22⋊C4×C79—22no—
223C22⋊C4×C79—41no—
224C22⋊C4×C79—42no—
225C22⋊C4×C79—42no—
226C22⋊C4×C79—42no—
227C22⋊C4×C79—42no—
228C22⋊C4×C79—42no—
229C42×C79—21no—
230C42×C79—21no—
231C42×C79—21no—
232C42×C79—21no—
233C23×C79—21no—
234C23×C79—21no—
235C23×C79—21no—
236C23×C79—21no—
237C23×C79—21no—
238C23×C79—21no—
239C23×C79—22no—
240C23×C79—41no—
241C23×C79—41no—
242C23×C79—41no—
243C23×C79—41no—
244C23×C79—41no—
245C23×C79—41no—
246C23×C79#12112yes—
247C23×C79C22×D411yescharacteristic
248Q8×C79—22no—
249Q8×C79—22no—
250Q8×C79—41no—
251Q8×C79—41no—
252Q8×C79—41no—
253Q8×C79—41no—
254Q8×C79—41no—
255Q8×C79—41no—
256D4×C79—22no—
257D4×C79—22no—
258D4×C79—48no—
259D4×C79—41no—
260D4×C79—41no—
261C2×C4×C79—21no—
262C2×C4×C79—21no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—22no—
266C2×C4×C79—22no—
267C2×C4×C79—22no—
268C2×C4×C79—22no—
269C2×C4×C79—21no—
270C2×C4×C79—21no—
271C2×C4×C79—21no—
272C2×C4×C79—22no—
273C2×C4×C79—21no—
274C2×C4×C79—21no—
275C2×C4×C79—21no—
276C2×C4×C79—21no—
277C2×C4×C79—21no—
278C2×C4×C79—21no—
279C2×C4×C79—48no—
280C2×C4×C79—41no—
281C2×C4×C79—41no—
282C2×C4×C79—41no—
283C2×C4×C79—41no—
284C2×C4×C79—41no—
285C2×C4×C79—41no—
286C2×C4×C79—41no—
287C2×C4×C79—41no—
288C2×C4×C79#12112yes—
289C2×C4×C79#13712yes—
290C2×C4×C79C22×D411yescharacteristic
291C2×C4×C79C2×#4111yescharacteristic
292C2×C4×C79C2×#4111yescharacteristic
293C2×C4×C79C2×#4111yescharacteristic
294C2×C4×C79H(5,𝔽2)11yescharacteristic
295C2×C4×C79H(5,𝔽2)11yescharacteristic
296C2×Dic79—22no—
297C2×Dic79—22no—
298C2×Dic79—41no—
299C2×Dic79—41no—
300C2×Dic79—41no—
301C2×Dic79—41no—
302C2×Dic79—41no—
303C2×Dic79—41no—
304C2×Dic79—41no—
305C2×Dic79—41no—
306C2×Dic79—41no—
307C2×Dic79—41no—
308C2×Dic79—84no—
309C79⋊C8—41no—
310C79⋊C8—41no—
311C79⋊C8—41no—
312C79⋊C8—41no—
313C22×C79—22no—
314C22×C79—22no—
315C22×C79—22no—
316C22×C79—41no—
317C22×C79—41no—
318C22×C79—41no—
319C22×C79—41no—
320C22×C79—42no—
321C22×C79—42no—
322C22×C79—42no—
323C22×C79—81no—
324C22×C79—81no—
325C22×C79—81no—
326C22×C79—81no—
327C22×C79C2×#12111yescharacteristic
328C22×C79#54611yescharacteristic
329C22×C79#54611yescharacteristic
330C22×C79C2×#13711yescharacteristic
331C22×C79#57511yescharacteristic
332C22×C79#57711yescharacteristic
333C22×C79#57711yescharacteristic
334C4×C79—22no—
335C4×C79—22no—
336C4×C79—41no—
337C4×C79—42no—
338C4×C79—41no—
339C4×C79—41no—
340C4×C79—81no—
341C4×C79—81no—
342C4×C79#52511yescharacteristic
343C4×C79#53511yescharacteristic
344C4×C79#55111yescharacteristic
345C4×C79#55111yescharacteristic
346Dic79—42no—
347Dic79—42no—
348Dic79—81no—
349Dic79—81no—
350#24491—791nomaximal, Sylow
351C2×C79—42no—
352C2×C79—82no—
353C2×C79#241111yescharacteristic
354C2×C79#303711yescharacteristic
355C2×C79#304211yescharacteristic
356C2×C79#330711yescharacteristic
357C2×C79#331611yescharacteristic
358C2×C79#332611yescharacteristic
359C2×C79#333111yescharacteristic
360C2×#483—791no—
361C2×#417—791no—
362#2432D7911yescharacteristic
363#2345—791no—
364#2066—791no—
365#2065—791no—
366#2043—791no—
367#2042—791no—
368#1983—791no—
369#1981—791no—
370#1927—791no—
371#1926—791no—
372#1894—791no—
373#1851—791no—
374#1788—791no—
375C79#2449111yescharacteristic, complemented, Sylow
376C22×#41C2×D7911yescharacteristic
377C22×M16—791no—
378C2×C4⋊Q8C2×D7911yescharacteristic
379C2×#124C2×D7911yescharacteristic
380C2×C22⋊Q8C2×D7911yescharacteristic
381C22×C4⋊C4—791no—
382#483—1584no—
383C2×#106—791no—
384C2×#106—791no—
385C2×C4⋊C8—791no—
386C2×C4⋊C8—791no—
387#417—1584no—
388C2×#103—791no—
389C2×#103—791no—
390C2×#103—791no—
391C2×#103—791no—
392C2×#103—791no—
393C2×#103—791no—
394C2×#103—791no—
395C2×#103—791no—
396C2×#102—791no—
397C2×#102—791no—
398C2×#102—791no—
399C2×#102—791no—
400C2×C22⋊C8—791no—
401#394—21no—
402#394—21no—
403#391C2×D7911yescharacteristic
404#390C2×D7911yescharacteristic
405#389—791no—
406#389—791no—
407#387—1581no—
408#387—1581no—
409#385—21no—
410#385—21no—
411#380—791no—
412#380—1581no—
413C4×C4⋊C4—791no—
414C4×C4⋊C4—791no—
415C4×C22⋊C4—1581no—
416C4×C22⋊C4C2×D7911yescharacteristic
417#340—791no—
418#340—791no—
419#336—791no—
420#336—791no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8C22×D7911yescharacteristic
428C22×Q8C22×D7911yescharacteristic
429C22×D4—21no—
430C22×D4C22×D7911yescharacteristic
431C23×C4—21no—
432C23×C4—1581no—
433C23×C4C22×D7911yescharacteristic
434C2×M16—3161no—
435C2×M16—3161no—
436C2×M16—1582no—
437C22×C8—791no—
438C22×C8—791no—
439C22×C8—791no—
440C22×C8—791no—
441C4⋊Q8—22no—
442C4⋊Q8—41no—
443#124—22no—
444#124—41no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—794no—
451C2×C4⋊C4—791no—
452C2×C4⋊C4—791no—
453C2×C4⋊C4—791no—
454C2×C4⋊C4—791no—
455C2×C4⋊C4—1581no—
456C2×C4⋊C4—1581no—
457C2×C4⋊C4—1581no—
458C2×C4⋊C4—1582no—
459C2×C4⋊C4C22×D7911yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—1581no—
466C2×C22⋊C4C22⋊D7911yescharacteristic
467C2×C22⋊C4C22⋊D7911yescharacteristic
468C2×C42—1581no—
469C2×C42—1581no—
470C2×C42C22×D7911yescharacteristic
471C2×C42C22×D7911yescharacteristic
472#106—1582no—
473#106—1582no—
474C4⋊C8—3161no—
475C4⋊C8—3161no—
476#103—3161no—
477#103—3161no—
478#103—3161no—
479#103—1582no—
480#103—1582no—
481#103—1582no—
482#103—1582no—
483#103—1582no—
484#102—3161no—
485#102—1582no—
486#102—1582no—
487#102—1582no—
488C22⋊C8—1582no—
489#95—21no—
490#95—21no—
491#95—1581no—
492#95—1581no—
493#95—1581no—
494#95—1581no—
495#95—1581no—
496#95C22⋊D7911yescharacteristic
497#95C22⋊D7911yescharacteristic
498C24—21no—
499C24C2×C22⋊D7911yescharacteristic
500#41—28no—
501#41—44no—
502#41—44no—
503#41—44no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8#1192962312yes—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1192962312yes—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—6321no—
536C22×C4—6321no—
537C22×C4—1581no—
538C22×C4—1581no—
539C22×C4—1581no—
540C22×C4—1581no—
541C22×C4—1584no—
542C22×C4D4×D7912yes—
543C22×C4C2×C22⋊D7911yescharacteristic
544C22×C4C2×C22⋊D7911yescharacteristic
545C22×C4C2×C22⋊D7911yescharacteristic
546C22×C4C2×C22⋊D7911yescharacteristic
547C22×C4C2×C22⋊D7911yescharacteristic
548C22×C4#1192962312yes—
549C22×C4C23×D7911yescharacteristic
550M16—3164no—
551C2×C8—1581no—
552C2×C8—1581no—
553C2×C8—1581no—
554C2×C8—1581no—
555C2×C8—1581no—
556C2×C8—1581no—
557C2×C8—1581no—
558C2×C8—1581no—
559C2×C8—1581no—
560C2×C8—1581no—
561C2×C8—1581no—
562C2×C8—1581no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—792no—
569C4⋊C4—792no—
570C4⋊C4—6321no—
571C4⋊C4—6321no—
572C4⋊C4—1581no—
573C4⋊C4—1581no—
574C4⋊C4—1581no—
575C4⋊C4—1581no—
576C4⋊C4—1581no—
577C4⋊C4—1581no—
578C4⋊C4—1584no—
579C22⋊C4—22no—
580C22⋊C4—41no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—3162no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—6321no—
592C42—6321no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23#1457913212yes—
607C23C22×C22⋊D7911yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616D4—22no—
617D4—22no—
618D4—48no—
619D4—41no—
620D4—41no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—48no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—3161no—
649C2×C4—3161no—
650C2×C4—3161no—
651C2×C4—3161no—
652C2×C4—3161no—
653C2×C4—3161no—
654C2×C4—3161no—
655C2×C4—3161no—
656C2×C4—3161no—
657C2×C4—3161no—
658C2×C4—6324no—
659C2×C4—1582no—
660C2×C4—1582no—
661C2×C4#1457913212yes—
662C2×C4#1457919112yes—
663C2×C4C2×D4×D7911yescharacteristic
664C2×C4C2×#1192962311yescharacteristic
665C2×C4C2×#1192962311yescharacteristic
666C2×C4C2×#1192962311yescharacteristic
667C2×C4#1457920611yescharacteristic
668C2×C4#1457920611yescharacteristic
669C8—3161no—
670C8—3161no—
671C8—3161no—
672C8—3161no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22C2×#1457913211yescharacteristic
688C22#1909920711yescharacteristic
689C22#1909920711yescharacteristic
690C22C2×#1457919111yescharacteristic
691C22#1909936111yescharacteristic
692C22#1909937111yescharacteristic
693C22#1909937111yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—42no—
700C4—81no—
701C4—81no—
702C4—3162no—
703C4—3162no—
704C4—6321no—
705C4—6321no—
706C4#1909906911yescharacteristic
707C4#1909912811yescharacteristic
708C4#1909924411yescharacteristic
709C4#1909924411yescharacteristic
710C2—42no—
711C2—82no—
712C2#2376678111yescharacteristic
713C2#2377286811yescharacteristic
714C2#2377290811yescharacteristic
715C2#2377537611yescharacteristic
716C2#2377551111yescharacteristic
717C2#2377565311yescharacteristic
718C2#2377571611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
FittingC79×#2432C2
socleC23×C79C22×D4
prime radicalC22×#41×C79C22
hypercenter#2432D79
hypocenterC79#24491
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2432

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#19098891C2semidirect
3. #23766275C2semidirect
4. #23764781C2semidirect
5. #23764774C2semidirect
6. #23764643C2semidirect
7. #23764636C2semidirect
8. #23764333C2semidirect
9. #23764324C2semidirect
10. #23764031C2semidirect
11. #23764024C2semidirect
12. #23763834C2semidirect
13. #23763585C2semidirect
375. C79#24491semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#190988912
C2×#190985642
#237662752
#237647812
#237647742
#237646432
#237646362
#237643332
#237643242
#237640312
#237640242
#237638342
#237635852
#237633402
C79×#24322
#2449179